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Finding the Third Proportional to 308,938,647 and 466,280,982

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Solution

The third proportional to 308,938,647 and 466,280,982 is: 703,757,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,938,647 : 466,280,982 = 466,280,982 : x
  2. Step 2: Convert to fraction form
    308,938,647/466,280,982 = 466,280,982/x
  3. Step 3: Cross multiply
    308,938,647x = 466,280,982 × 466,280,982
  4. Step 4: Simplify right side
    308,938,647x = 217,417,954,174,884,320
  5. Step 5: Solve for x
    x = 217,417,954,174,884,320/308,938,647
  6. Step 6: Final answer
    x = 703,757,708.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.